Least Common Multiple of 24/430, 96/213, 309/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/430, 96/213, 309/726 quickly i.e. 9888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/430, 96/213, 309/726 is 9888.

LCM(24/430, 96/213, 309/726) = 9888

LCM of 24/430, 96/213, 309/726

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 24/430,96/213,309/726

Given numbers are 24/430,96/213,309/726

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 24,96,309

Least Common Multiple of Numerators i.e. LCM of 24,96,309 is 9888.

GCF of Denominators means GCF of 430,213,726 as per the given fractions.

GCF of 430,213,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,96,309

LCM of Fractions 24/430,96/213,309/726 is 9888

2 24, 96, 309
2 12, 48, 309
2 6, 24, 309
3 3, 12, 309
1, 4, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 4 x 103 = 9888

Least Common Multiple of 24,96,309 with GCF Formula

Least Common Multiple of 24,96,309 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,96,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,96,309) = 3

common factors(in case of two or more numbers have common factors) = 24

GCF(24,96,309) x common factors =3 x 24 = 72

LCM(24,96,309) = ( 24 × 96 × 309 ) / 72

LCM(24,96,309) = 711936 / 72

LCM(24,96,309) = 9888


Lets's calculate GCF of 430,213,726

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9888/1

Therefore the LCM of Fractions 24/430,96/213,309/726 is 9888

Greatest Common Factor of 430,213,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,213,726 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 430,213,726 . The biggest common factor number is the GCF number.
So the greatest common factor 430,213,726 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 24/430, 96/213, 309/726

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 24/430, 96/213, 309/726?

Answer: LCM of Numerators as per given numbers 24/430, 96/213, 309/726 is

LCM of Numerators i.e. for 24,96,309 is 9888

GCF of denominators i.e. for 430,213,726 is 1.

Thus, LCM of Fractions is 9888.Finally, LCM of Fractions for 24/430, 96/213, 309/726 is 9888.